Education before Hogwarts?

[Jonathan Pessin]

No: HPFGUIDX 54847

Trond Michelsen, in reference to pre-Hogwarts schooling, posted this
excerpt from a JKR interview:

"Q: Do wizards and witches have to go Muggle school before they go to
   Hogwarts?  

A: No, they don't have to."

I postulate:
This makes me wonder if there are any WIZARDING primary schools that
wizarding children must attend before Hogwarts.  JKR never says kids
don't go to school, just that they don't attend MUGGLE schools.  IMNSHO,
this could imply that the Wizarding World has a primary school system in
place for wizarding kids.  Some parents may not have time, what's with
work and all, to home-school their children; besides, I'm sure Wizarding
parents are as glad to have their kids off for the day as Muggle parents
are.  Any thoughts?

Hobbit_guy, who's happy he's only 19 and doesn't have to worry about
kids yet.

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"You haven't been getting into the Gaffer's home brew again, have
you?"
"No... Well, yes, but that's beside the point."
-Frodo and Bilbo Baggins, Fellowship of the Rings Extended Edition DVD